Combining Texts

All the ideas for 'The Big Book of Concepts', 'Remarks on axiomatised set theory' and 'The Sovereignty of Good'

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43 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
An unexamined life can be virtuous [Murdoch]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy must keep returning to the beginning [Murdoch]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophy moves continually between elaborate theories and the obvious facts [Murdoch]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
12. Knowledge Sources / B. Perception / 5. Interpretation
Research shows perceptual discrimination is sharper at category boundaries [Murphy]
14. Science / C. Induction / 1. Induction
Induction is said to just compare properties of categories, but the type of property also matters [Murphy]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
The main theories of concepts are exemplar, prototype and knowledge [Murphy]
18. Thought / D. Concepts / 4. Structure of Concepts / c. Classical concepts
The theoretical and practical definitions for the classical view are very hard to find [Murphy]
The classical definitional approach cannot distinguish typical and atypical category members [Murphy]
Classical concepts follow classical logic, but concepts in real life don't work that way [Murphy]
Classical concepts are transitive hierarchies, but actual categories may be intransitive [Murphy]
The classical core is meant to be the real concept, but actually seems unimportant [Murphy]
18. Thought / D. Concepts / 4. Structure of Concepts / d. Concepts as prototypes
There is no 'ideal' bird or dog, and prototypes give no information about variability [Murphy]
Prototypes are unified representations of the entire category (rather than of members) [Murphy]
The prototype theory uses observed features, but can't include their construction [Murphy]
The prototype theory handles hierarchical categories and combinations of concepts well [Murphy]
Prototypes theory of concepts is best, as a full description with weighted typical features [Murphy]
Learning concepts is forming prototypes with a knowledge structure [Murphy]
18. Thought / D. Concepts / 4. Structure of Concepts / e. Concepts from exemplars
The most popular theories of concepts are based on prototypes or exemplars [Murphy]
The exemplar view of concepts says 'dogs' is the set of dogs I remember [Murphy]
Exemplar theory struggles with hierarchical classification and with induction [Murphy]
Children using knowing and essentialist categories doesn't fit the exemplar view [Murphy]
Conceptual combination must be compositional, and can't be built up from exemplars [Murphy]
The concept of birds from exemplars must also be used in inductions about birds [Murphy]
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
We do not learn concepts in isolation, but as an integrated part of broader knowledge [Murphy]
Concepts with familiar contents are easier to learn [Murphy]
Some knowledge is involved in instant use of categories, other knowledge in explanations [Murphy]
People categorise things consistent with their knowledge, even rejecting some good evidence [Murphy]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch]
22. Metaethics / B. Value / 2. Values / g. Love
Love is a central concept in morals [Murdoch]
Ordinary human love is good evidence of transcendent goodness [Murdoch]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
If I attend properly I will have no choices [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Art trains us in the love of virtue [Murdoch]
It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Only trivial virtues can be possessed on their own [Murdoch]
Moral reflection and experience gradually reveals unity in the moral world [Murdoch]
23. Ethics / F. Existentialism / 7. Existential Action
Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch]
Only a philosopher might think choices create values [Murdoch]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch]